The number 12.410 is to be written using the closest 8-bit unsigned binary representation.i.Show, using a table of column weightings, that 1100.01102 represents the decimal value 12.37510.ii.Show, using a table of column weightings, that 1100.01112 represents the decimal value 12.437510.iii.Using your results from (i) and (ii) write down the 8-bit unsigned binary number and its decimal equivalent that gives the best approximation to 12.410.iv.Write the decimal number you wrote down in (iii) as a percentage of 12.4. Write your final answer as a percentage rounded to two decimal places.

Answered: The number 12.410 is to be written…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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The number 12.4₁₀ is to be written using the closest 8-bit unsigned binary representation.

i.Show, using a table of column weightings, that 1100.0110₂ represents the decimal value 12.375₁₀.

ii.Show, using a table of column weightings, that 1100.0111₂ represents the decimal value 12.4375₁₀.

iii.Using your results from (i) and (ii) write down the 8-bit unsigned binary number and its decimal equivalent that gives the best approximation to 12.4₁₀.

iv.Write the decimal number you wrote down in (iii) as a percentage of 12.4. Write your final answer as a percentage rounded to two decimal places.

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